sciml

There are 4 repositories under sciml topic.

SciML / DifferentialEquations.jl
Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations dynamical-systems julia neural-differential-equations ode partial-differential-equations pde python r scientific-machine-learning sciml sde spde stochastic-differential-equations stochastic-processes
Language:Julia 2756
SciML / SciMLBook
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
differential-equations scientific-machine-learning neural-networks numerical-methods gpu-computing stiff-equations lecture-notes performance-engineering parallelism scientific-simulators neural-ode neural-sde sciml
Language:HTML 1790
SciML / ModelingToolkit.jl
An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
differential-equations ode dae ordinary-differential-equations pde sde dde stochastic-differential-equations delay-differential-equations julia symbolic symbolic-computation symbolic-numerics computer-algebra sciml scientific-machine-learning optimization nonlinear-programming acausal equation-based
Language:Julia 1334
SciML / NeuralPDE.jl
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
differential-equations differentialequations neural-differential-equations scientific-ml scientific-ai partial-differential-equations ordinary-differential-equations neural-network neural-networks ode pde sciml scientific-machine-learning pinn machine-learning
Language:Julia 903
SciML / SciMLTutorials.jl
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
differentialequations differential-equations ode sde dae dde ordinary-differential-equations neural-differential-equations neural-ode pde partial-differential-equations stochastic-differential-equations julia scientific-machine-learning sciml python r hacktoberfest
Language:CSS 708
SciML / Optimization.jl
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
optimization local-optimization global-optimization automatic-differentiation algorithmic-differentiation sciml scientific-machine-learning hacktoberfest julia mixed-integer-programming nonlinear-optimization convex-optimization derivative-free-optimization
Language:Julia 658
pdebench / PDEBench
PDEBench: An Extensive Benchmark for Scientific Machine Learning
ai autoregressive-models benchmark deep-learning fluid-dynamics jax machine-learning navier-stokes-equations neural-networks neural-operators partial-differential-equations physics-informed-neural-networks pytorch scientific scientific-computing sciml simulation
Language:Python 615
SymbolicRegression.jl
MilesCranmer / SymbolicRegression.jl
Distributed High-Performance Symbolic Regression in Julia
symbolic-regression julia symbolic-computation machine-learning automl sciml interpretable-ml data-science distributed-systems evolutionary-algorithms explainable-ai genetic-algorithm symbolic equation-discovery
Language:Julia 526
SciML / OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
ordinary-differential-equations differentialequations ode event-handling adaptive high-performance differential-equations scientific-machine-learning hacktoberfest julia sciml
Language:Julia 498
SciML / diffeqpy
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
differential-equations differentialequations sde sdes ode numba dae ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations dde delay-differential-equations sciml scientific-machine-learning
Language:Python 495
benmoseley / harmonic-oscillator-pinn
Code accompanying my blog post: So, what is a physics-informed neural network?
neural-networks physics-informed-ml physics-informed-neural-networks pinns sciml
Language:Jupyter Notebook 485
SciML / Catalyst.jl
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
differential-equations chemical-reactions reaction-network sde dsl ode gillespie-algorithm biology systems-biology rate-laws sciml scientific-machine-learning systems-biology-simulation julia simulation
Language:Julia 420
SciML / DataDrivenDiffEq.jl
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
differential-equations julia ode scientific-machine-learning sciml
Language:Julia 398
SciML / Surrogates.jl
Surrogate modeling and optimization for scientific machine learning (SciML)
surrogate-models surrogate-based-optimization surrogates surrogate sciml scientific-machine-learning high-performance-computing automatic-differentiation differential-equations julia optimization
Language:Julia 314
SciML / SciMLSensitivity.jl
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
differentialequations sensitivity-analysis neural-ode adjoint backpropogation neural-sde ode sde dae dde sciml scientific-machine-learning hacktoberfest differential-equations
Language:Julia 308
mitmath / 18S096SciML
18.S096 - Applications of Scientific Machine Learning
scientific-machine-learning differential-equations neural-networks neural-ode partial-differential-equations sciml lecture-notes
Language:HTML 303
SciML / DiffEqBase.jl
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
differentialequations differential-equations ode sde dae dde ordinary-differential-equations neural-differential-equations neural-ode stochastic-differential-equations delay-differential-equations differential-algebraic-equations pde partial-differential-equations sciml scientific-machine-learning hacktoberfest
Language:Julia 297
SciML / SciMLBenchmarks.jl
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
differential-equations differentialequations ode sde dae neural-ode nerual-differential-equations benchmark pde partial-differential-equations sciml scientific-machine-learning ai julia ai-for-science jax matlab python pytorch
Language:MATLAB 290
SciML / DiffEqOperators.jl
Linear operators for discretizations of differential equations and scientific machine learning (SciML)
differential-equations differentialequations partial-differential-equations pde sde stochastic-differential-equations finite-difference-method fdm matrix-free julia neural-differential-equations neural-ode sciml scientific-machine-learning
Language:Julia 283
SciML / DiffEqGPU.jl
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
gpu gpu-parallelism differentialequations differential-equations ode sde dae dde neural-ode neural-differential-equations sciml scientific-machine-learning
Language:Julia 267
SciML / DiffEqDocs.jl
Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
differential-equations sciml scientific-machine-learning physics-informed-learning ode sde dae dde neural-ode hacktoberfest
Language:Julia 260
SciML / StochasticDiffEq.jl
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
stochastic-differential-equations stochastic sde sode adaptive ito stratonovich stochastic-processes noise random random-differential-equations rode rde differentialequations differential-equations solvers sciml scientific-machine-learning hacktoberfest
Language:Julia 234
SciML / LinearSolve.jl
LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.
amg differential-equations distributed-computing factorization gpu julia krylov-methods linear-algebra linear-solvers multigrid newton-krylov preconditioners scientific-machine-learning sciml
Language:Julia 220
ChrisRackauckas / universal_differential_equations
Repository for the Universal Differential Equations for Scientific Machine Learning paper, describing a computational basis for high performance SciML
neural-ode scientific-machine-learning sciml universal-differential-equations
Language:Julia 214
SciML / NonlinearSolve.jl
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
nonlinear-equations steady-state equilibrium deep-equilibrium-models bracketing newton-raphson sparse-matrices high-performance-computing differential-equations factorization julia newton-krylov newton-method scientific-machine-learning sciml sparse-matrix
Language:Julia 204
SciML / Sundials.jl
Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner
julia sundials cvode ida ode differential-equations differentialequations ordinary-differential-equations dae differential-algebraic-equations sensitivity-analysis arkode idas kinsol sundials-libraries clang sciml scientific-machine-learning hybrid-differential-equation hacktoberfest
Language:Julia 203
SciML / Integrals.jl
A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
quadrature integration automatic-differentiation algorithmic-differentiation differentiable-programming sciml scientific-machine-learning julia julia-language julialang numerical-integration
Language:Julia 202
SciML / RecursiveArrayTools.jl
Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
vector array recursion sciml scientific-machine-learning
Language:Julia 198
ReservoirComputing.jl
SciML / ReservoirComputing.jl
Reservoir computing utilities for scientific machine learning (SciML)
reservoir-computing echo-state-networks rnn machine-learning differential-equations scientific-machine-learning sciml julia
Language:Julia 198
SciML / SciMLStyle
A style guide for stylish Julia developers
julia ode scientific-machine-learning sciml style
Language:Julia 191
SciML / MethodOfLines.jl
Automatic Finite Difference PDE solving with Julia SciML
finite-difference-method high-performance-computing julia parallel-computing partial-differential-equations pde scientific-ml sciml symbolic-computation
Language:Julia 148
SciML / diffeqr
Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
differential-equations ode sde dae dde differential-algebraic-equations ordinary-differential-equations stochastic-differential-equations delay-differential-equations sciml scientific-machine-learning
Language:R 134
levimcclenny / SA-PINNs
Implementation of the paper "Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism" [AAAI-MLPS 2021]
adaptive-pinns neural-network pdes stiff-pdes scientific-computing sciml physics-informed-learning pinns deep-learning neural-networks tensorflow
Language:Python 133
SciML / JumpProcesses.jl
Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)
gillespie ssa jump-diffusion stochastic differential-equations hybrid-differential-equation ode sde stochastic-jump-equations neural-ode neural-differential-equations scientific-ml scientific-ai sciml scientific-machine-learning
Language:Julia 133
JuliaArrays / ArrayInterface.jl
Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations
arrays base composibility interface primitives sciml scientific-machine-learning
Language:Julia 130
akio-tomiya / LatticeQCD.jl
A native Julia code for lattice QCD with dynamical fermions in 4 dimension.
qcd julialang julia-language julia monte-carlo lattice-qcd particle-physics hpc lattice-gauge-theory lattice-field-theory hep hep-lat hmc physics sciml
Language:Julia 128